D'Alembert strategy for crash games
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The D’Alembert strategy in crash games is simple: add one unit after a loss and take one unit off after a win, never going below one unit. It is a gentle progression system that pairs naturally with a 2x auto cash out in Aviator, Stake Crash or JetX. In our 1,000-session test with GH₵20 units it finished with a median of GH₵620 from GH₵1,000, with the top 10% on GH₵2,020 or more. Here’s how to run it on SportyBet Ghana, Betway Ghana or a partner crypto casino, with cedi examples. More systems in our crash game strategy guide.
How the D’Alembert system works
The rule: add one unit after a loss and take one unit off after a win, never going below one unit. Here is how six rounds play out at 2x auto cash out with a GH₵20 unit:
| Round | Stake | Result | Running profit |
|---|---|---|---|
| 1 | GH₵20 | Loss | −GH₵20 |
| 2 | GH₵40 | Loss | −GH₵60 |
| 3 | GH₵60 | Win at 2x | GH₵0 |
| 4 | GH₵40 | Loss | −GH₵40 |
| 5 | GH₵60 | Win at 2x | GH₵20 |
| 6 | GH₵40 | Win at 2x | GH₵60 |
The stake moves with your results, which is the whole idea: the system decides your next bet so you never have to.
D’Alembert simulator test in cedi
We ran the D’Alembert system at 2x through our simulator: 1,000 sessions of up to 100 rounds, a GH₵1,000 bankroll and GH₵20 bets. The median session finished on GH₵620, the luckiest 10% on GH₵2,020 or more and the coldest 10% on GH₵0 or less. 44.9% of sessions ran the bankroll below one bet. For comparison, flat GH₵20 bets at 2x finished on a median of GH₵960 with 0% busts. Try your own settings in the crash game simulator.
What D’Alembert does well
- Stakes climb one unit at a time, far slower than Martingale.
- Every win pulls the stake back down, so hot streaks stay cheap.
- Easy to run in your head between rounds.
Worth knowing:
- A long cold run still builds the stake step by step.
- Wins at 2x pay the current stake, so a win after a climb only claws back part of the run.
D’Alembert vs other betting systems
| System (2x, GH₵1,000 bankroll) | Median finish | Top 10% finish | Bust rate |
|---|---|---|---|
| D’Alembert | GH₵620 | GH₵2,020 | 44.9% |
| Martingale | GH₵920 | GH₵2,040 | 46.5% |
| Anti-Martingale | GH₵920 | GH₵1,440 | 1.1% |
| Flat betting | GH₵960 | GH₵1,200 | 0% |
| Fibonacci | GH₵1,260 | GH₵1,480 | 31.5% |
The Martingale strategy crash guide covers the doubling system, and anti Martingale crash covers pressing your wins. For the full ranking, read best betting system for crash games.
Best games for D’Alembert
Use it on any crash game with auto cash out at 2x: SportyBet Aviator Ghana is the classic, Stake Crash pays 99% RTP, and JetX Ghana lets you run two bets at once.
Run D’Alembert in Ghana
Write your unit size down before you start (GH₵20 is a good default on a GH₵1,000 budget) and fund with MTN MoMo, Telecel Cash or AT Money. Want to play crash games with big-multiplier crypto originals and fast payouts? Compare the best crash game casinos in Ghana, or jump straight into Stake Crash.
Pro tip: set a session cap of 100 rounds and a stop at +20%; D’Alembert is at its best in short, planned sessions.
Strategy simulator
- Median final bankroll
- Unlucky (10th percentile)
- Lucky (90th percentile)
- Chance of going bust
- Median max drawdown
- Average rounds played
Example: 1000 sessions of 100 rounds, bankroll GH₵1,000, base bet GH₵20, target 2x, 3% edge
| Strategy | Median final bankroll | Unlucky (10th percentile) | Lucky (90th percentile) | Chance of going bust |
|---|---|---|---|---|
| D'Alembert | GH₵620 | GH₵0 | GH₵2,020 | 44.9% |
| Fixed bet | GH₵960 | GH₵720 | GH₵1,200 | 0.0% |
Run it a few times with different settings to find the approach that fits your bankroll and playing style.
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Frequently asked questions
How does the D'Alembert strategy work?
Add one unit after a loss and take one unit off after a win, never going below one unit.
Does D'Alembert work in Aviator?
It runs fine with a 2x auto cash out. It shapes your swings; it cannot change the 97% RTP.
What unit size should I use for D'Alembert?
About 2% of your budget, for example GH₵20 on GH₵1,000.
How risky is D'Alembert?
In our 1,000-session test at 2x, 44.9% of sessions ran out of bankroll within 100 rounds.
Is D'Alembert better than Martingale?
D'Alembert finished with a median of GH₵620 against Martingale's GH₵920 in the same test.
By Daniel Foster · Crash Game Maths & Mechanics Analyst
Daniel focuses on the mathematics and mechanics behind crash games. His reviews examine RTP disclosures, volatility, multipliers, game mechanics and the mathematical principles behind different crash titles.
Fact-checked by Alex Morgan
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